Question

find the measure of x in each of the following figure

step by step​

Answer 1

Answer:

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Step-by-step explanation:

150+y(let)=180(sum of angles is 180)

y=30

angle CAB=CBA

y=CBA

30+30+x=180(angle sum property)

60+x=180

x=180-60

x=120

Answer 2

Answer:

x=120

Step-by-step explanation:

<DAC=150(given)

<DAC+<CAB=180(linear pair)

150+<CAB=180

<CAB=180-150

<CAB=30

ab=bc(given)

CAB=BAC(opposite to equal side are equal)

BAC=30

• <A+<C+<B=180(angle sum property of triangle)
• 30+30+<B=180
• 60+<B=180
• <B=180-60
• <B=120
• <X=120º